Journal of Optimization Theory and Applications

, Volume 156, Issue 1, pp 79–95

Controllability of Fractional Functional Evolution Equations of Sobolev Type via Characteristic Solution Operators


DOI: 10.1007/s10957-012-0174-7

Cite this article as:
Fec̆kan, M., Wang, J. & Zhou, Y. J Optim Theory Appl (2013) 156: 79. doi:10.1007/s10957-012-0174-7


The paper is concerned with the controllability of fractional functional evolution equations of Sobolev type in Banach spaces. With the help of two new characteristic solution operators and their properties, such as boundedness and compactness, we present the controllability results corresponding to two admissible control sets via the well-known Schauder fixed point theorem. Finally, an example is given to illustrate our theoretical results.


ControllabilityFractional derivativeFunctional evolution equationsSobolevCharacteristic solution operators

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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and InformaticsComenius UniversityBratislavaSlovakia
  2. 2.Mathematical InstituteSlovak Academy of SciencesBratislavaSlovakia
  3. 3.Department of MathematicsGuizhou UniversityGuiyangP.R. China
  4. 4.Department of MathematicsXiangtan UniversityXiangtanP.R. China